## A Mathematical Artwork for Pi Day

Pi is an international number. This number can be a symbol of peace between nations. The following image is a public domain artwork that I have created in honor of Pi day. Here I would like to mention some of the mathematicians who played a significant role in the history of Pi:

This image shows 2,000 circles. For k=1,2,3,…,2000 the center of the k-th circle is (X(k), Y(k)) and the radius of the k-th circle is R(k), where

X(k)=(19k/30000)+(cos((πk/1000)+(3π/10)))^{10}(cos((3πk/1000)+(9π/10)))^{10}sin((πk/21000)-(17π/140)),

Y(k)=-(cos((πk/1000)+(3π/10)))^{10}(cos((3πk/1000)+(9π/10)))^{10}-(1/6)(cos(πk/6000))^{14}(cos(πk/2000))^{14},

R(k)=(1/20)(cos((πk/1000)+(3π/10)))^{14}(cos((3πk/1000)+(9π/10)))^{14}+(1/14)(1-(cos(πk/6000))^{8}(cos(πk/2000))^{8}).

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